We investigate the properties of clusters of galaxies in the \Lambda CDM models with a steplike initial power spectrum .
We examine the mass function , the peculiar velocities and the power spectrum of clusters in models with different values of the density parameter \Omega _ { 0 } , the normalized Hubble constant h and the spectral parameter p , which describes the shape of the initial power spectrum .
The results are compared with observations .
We also investigate the rms bulk velocity in the models , where the properties of clusters are consistent with the observed data .
We find that the power spectrum of clusters is in good agreement with the observed power spectrum of the Abell-ACO clusters , if the spectral parameter p is in the range p = 0.6 - 0.8 .
The power spectrum and the rms peculiar velocity of clusters are consistent with observations only if \Omega _ { 0 } < 0.4 .
The \Omega _ { 0 } = 0.3 models are consistent with the observed properties of clusters , if h = 0.50 - 0.63 .
For h = 0.65 , we find that \Omega _ { 0 } = 0.20 - 0.27 .